A q-Analog of the Gamma Function defined by
(1) |
(2) |
A curious identity for the functional equation
(3) |
(4) |
(5) |
See also q-Beta Function, q-Factorial
References
Andrews, G. E. ``W. Gosper's Proof that
.'' Appendix A in
-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra.
Providence, RI: Amer. Math. Soc., p. 11 and 109, 1986.
Wenchang, C. Problem 10226 and Solution. ``A -Trigonometric Identity.'' Amer. Math. Monthly 103, 175-177, 1996.